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628311114 = 233192167193
BaseRepresentation
bin100101011100110…
…100010001001010
31121210021111211000
4211130310101022
52241321423424
6142202515430
721366361554
oct4534642112
91553244730
10628311114
112a2735492
12156505b76
13a022bc32
145d6364d4
153a2613c9
hex2573444a

628311114 has 96 divisors (see below), whose sum is σ = 1490106240. Its totient is φ = 196204032.

The previous prime is 628311113. The next prime is 628311121. The reversal of 628311114 is 411113826.

It is a happy number.

628311114 is a `hidden beast` number, since 628 + 31 + 1 + 1 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1152) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628311113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3255402 + ... + 3255594.

It is an arithmetic number, because the mean of its divisors is an integer number (15521940).

Almost surely, 2628311114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628311114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745053120).

628311114 is an abundant number, since it is smaller than the sum of its proper divisors (861795126).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

628311114 is a wasteful number, since it uses less digits than its factorization.

628311114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 384 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 628311114 is about 25066.1348037546. The cubic root of 628311114 is about 856.4951616241.

The spelling of 628311114 in words is "six hundred twenty-eight million, three hundred eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 167 171 193 334 342 361 386 501 513 579 722 1002 1026 1083 1158 1503 1737 2166 3006 3173 3249 3474 3667 4509 5211 6346 6498 7334 9018 9519 9747 10422 11001 19038 19494 22002 28557 32231 33003 57114 60287 64462 66006 69673 85671 96693 99009 120574 139346 171342 180861 193386 198018 209019 290079 361722 418038 542583 580158 612389 627057 870237 1085166 1224778 1254114 1627749 1740474 1837167 1881171 3255498 3674334 3762342 5511501 11023002 11635391 16534503 23270782 33069006 34906173 69812346 104718519 209437038 314155557 628311114